Finding the Third Proportional to 37,809.75 and 81,512.06

Step by Step Solution

1. Step 1: Write the proportion equation
   37,809.75 : 81,512.06 = 81,512.06 : x
2. Step 2: Convert to fraction form
   37,809.75/81,512.06 = 81,512.06/x
3. Step 3: Cross multiply
   37,809.75x = 81,512.06 × 81,512.06
4. Step 4: Simplify right side
   37,809.75x = 6,644,216,333.00
5. Step 5: Solve for x
   x = 6,644,216,333.00/37,809.75
6. Step 6: Final answer
   x = 175,727.59